TSTP Solution File: ALG030-10 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : ALG030-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 05:57:09 EDT 2022
% Result : Unsatisfiable 6.86s 7.03s
% Output : Refutation 6.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG030-10 : TPTP v8.1.0. Released v7.3.0.
% 0.00/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 11:17:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 6.86/7.03 GeoParameters:
% 6.86/7.03
% 6.86/7.03 tptp_input = 1
% 6.86/7.03 tptp_output = 0
% 6.86/7.03 nonempty = 1
% 6.86/7.03 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.86/7.03 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 6.86/7.03
% 6.86/7.03
% 6.86/7.03 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.86/7.03 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.86/7.03
% 6.86/7.03 RuleSystem INPUT:
% 6.86/7.03
% 6.86/7.03 Initial Rules:
% 6.86/7.03 #0: input, references = 4, size of lhs = 2:
% 6.86/7.03 P_ifeq2-{F}(V0,V0,V1,V2,V3), V3 == V1 | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #1: input, references = 4, size of lhs = 2:
% 6.86/7.03 P_ifeq-{F}(V0,V0,V1,V2,V3), V3 == V1 | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #2: input, references = 4, size of lhs = 8:
% 6.86/7.03 P_true-{F}(V0), P_sorti1-{F}(V1,V3), P_sorti1-{F}(V2,V4), P_op1-{F}(V2,V1,V5), P_sorti1-{F}(V5,V6), P_ifeq-{F}(V4,V0,V6,V0,V7), P_ifeq-{F}(V3,V0,V7,V0,V8), V8 == V0 | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #3: input, references = 3, size of lhs = 8:
% 6.86/7.03 P_true-{F}(V0), P_sorti2-{F}(V1,V3), P_sorti2-{F}(V2,V4), P_op2-{F}(V2,V1,V5), P_sorti2-{F}(V5,V6), P_ifeq-{F}(V4,V0,V6,V0,V7), P_ifeq-{F}(V3,V0,V7,V0,V8), V8 == V0 | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #4: input, references = 4, size of lhs = 5:
% 6.86/7.03 P_true-{F}(V0), P_sK2_ax3_U-{F}(V1), P_sK1_ax3_V-{F}(V2), P_op1-{F}(V1,V2,V4), P_op1-{F}(V2,V1,V4) | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #5: input, references = 4, size of lhs = 7:
% 6.86/7.03 P_true-{F}(V0), P_sK2_ax3_U-{F}(V1), P_sK1_ax3_V-{F}(V2), P_op1-{F}(V1,V2,V3), P_op1-{F}(V2,V1,V4), P_sorti1-{F}(V2,V5), V5 == V0 | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #6: input, references = 4, size of lhs = 8:
% 6.86/7.03 P_true-{F}(V0), P_sK2_ax3_U-{F}(V1), P_sK1_ax3_V-{F}(V2), P_op1-{F}(V1,V2,V3), P_op1-{F}(V2,V1,V4), P_sorti1-{F}(V2,V5), P_sorti1-{F}(V1,V6), V6 == V0 | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #7: input, references = 4, size of lhs = 14:
% 6.86/7.03 P_true-{F}(V0), P_sK2_ax3_U-{F}(V1), P_sK1_ax3_V-{F}(V2), P_op1-{F}(V1,V2,V3), P_op1-{F}(V2,V1,V4), P_sorti1-{F}(V2,V5), P_sorti1-{F}(V1,V6), P_sorti2-{F}(V7,V9), P_sorti2-{F}(V8,V10), P_op2-{F}(V8,V7,V11), P_op2-{F}(V7,V8,V12), P_ifeq2-{F}(V10,V0,V11,V12,V13), P_ifeq2-{F}(V9,V0,V13,V12,V14), V14 == V12 | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #8: input, references = 4, size of lhs = 12:
% 6.86/7.03 P_true-{F}(V0), P_sK2_ax3_U-{F}(V1), P_sK1_ax3_V-{F}(V2), P_op1-{F}(V1,V2,V3), P_op1-{F}(V2,V1,V4), P_sorti1-{F}(V2,V5), P_sorti1-{F}(V1,V6), P_sorti1-{F}(V7,V8), P_h-{F}(V7,V9), P_sorti2-{F}(V9,V10), P_ifeq-{F}(V8,V0,V10,V0,V11), V11 == V0 | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #9: input, references = 4, size of lhs = 17:
% 6.86/7.03 P_true-{F}(V0), P_sK2_ax3_U-{F}(V1), P_sK1_ax3_V-{F}(V2), P_op1-{F}(V1,V2,V3), P_op1-{F}(V2,V1,V4), P_sorti1-{F}(V2,V5), P_sorti1-{F}(V1,V6), P_sorti1-{F}(V7,V9), P_sorti1-{F}(V8,V10), P_h-{F}(V8,V11), P_h-{F}(V7,V12), P_op2-{F}(V11,V12,V13), P_op1-{F}(V8,V7,V14), P_h-{F}(V14,V15), P_ifeq2-{F}(V10,V0,V13,V15,V16), P_ifeq2-{F}(V9,V0,V16,V15,V17), V17 == V15 | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #10: input, references = 6, size of lhs = 12:
% 6.86/7.03 P_true-{F}(V0), P_sK2_ax3_U-{F}(V1), P_sK1_ax3_V-{F}(V2), P_op1-{F}(V1,V2,V3), P_op1-{F}(V2,V1,V4), P_sorti1-{F}(V2,V5), P_sorti1-{F}(V1,V6), P_sorti1-{F}(V7,V8), P_h-{F}(V7,V9), P_j-{F}(V9,V10), P_ifeq2-{F}(V8,V0,V10,V7,V11), V11 == V7 | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #11: input, references = 5, size of lhs = 12:
% 6.86/7.03 P_true-{F}(V0), P_sK2_ax3_U-{F}(V1), P_sK1_ax3_V-{F}(V2), P_op1-{F}(V1,V2,V3), P_op1-{F}(V2,V1,V4), P_sorti1-{F}(V2,V5), P_sorti1-{F}(V1,V6), P_sorti2-{F}(V7,V8), P_j-{F}(V7,V9), P_sorti1-{F}(V9,V10), P_ifeq-{F}(V8,V0,V10,V0,V11), V11 == V0 | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #12: input, references = 5, size of lhs = 17:
% 6.86/7.03 P_true-{F}(V0), P_sK2_ax3_U-{F}(V1), P_sK1_ax3_V-{F}(V2), P_op1-{F}(V1,V2,V3), P_op1-{F}(V2,V1,V4), P_sorti1-{F}(V2,V5), P_sorti1-{F}(V1,V6), P_sorti2-{F}(V7,V9), P_sorti2-{F}(V8,V10), P_j-{F}(V8,V11), P_j-{F}(V7,V12), P_op1-{F}(V11,V12,V13), P_op2-{F}(V8,V7,V14), P_j-{F}(V14,V15), P_ifeq2-{F}(V10,V0,V13,V15,V16), P_ifeq2-{F}(V9,V0,V16,V15,V17), V17 == V15 | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #13: input, references = 4, size of lhs = 12:
% 6.86/7.03 P_true-{F}(V0), P_sK2_ax3_U-{F}(V1), P_sK1_ax3_V-{F}(V2), P_op1-{F}(V1,V2,V3), P_op1-{F}(V2,V1,V4), P_sorti1-{F}(V2,V5), P_sorti1-{F}(V1,V6), P_sorti2-{F}(V7,V8), P_j-{F}(V7,V9), P_h-{F}(V9,V10), P_ifeq2-{F}(V8,V0,V10,V7,V11), V11 == V7 | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #14: input, references = 6, size of lhs = 4:
% 6.86/7.03 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_ifeq2-{T}(V0,V1,V2,V3,V4)
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #15: input, references = 5, size of lhs = 4:
% 6.86/7.03 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_ifeq-{T}(V0,V1,V2,V3,V4)
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #16: input, references = 7, size of lhs = 1:
% 6.86/7.03 #-{F} V0 | EXISTS V1: P_sorti1-{T}(V0,V1)
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #17: input, references = 4, size of lhs = 0:
% 6.86/7.03 FALSE | EXISTS V0: P_true-{T}(V0)
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #18: input, references = 14, size of lhs = 2:
% 6.86/7.03 #-{F} V0, #-{F} V1 | EXISTS V2: P_op1-{T}(V0,V1,V2)
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #19: input, references = 4, size of lhs = 1:
% 6.86/7.03 #-{F} V0 | EXISTS V1: P_sorti2-{T}(V0,V1)
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #20: input, references = 4, size of lhs = 2:
% 6.86/7.03 #-{F} V0, #-{F} V1 | EXISTS V2: P_op2-{T}(V0,V1,V2)
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #21: input, references = 4, size of lhs = 0:
% 6.86/7.03 FALSE | EXISTS V0: P_sK2_ax3_U-{T}(V0)
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #22: input, references = 4, size of lhs = 0:
% 6.86/7.03 FALSE | EXISTS V0: P_sK1_ax3_V-{T}(V0)
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #23: input, references = 7, size of lhs = 1:
% 6.86/7.03 #-{F} V0 | EXISTS V1: P_h-{T}(V0,V1)
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #24: input, references = 4, size of lhs = 1:
% 6.86/7.03 #-{F} V0 | EXISTS V1: P_j-{T}(V0,V1)
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 number of initial rules = 25
% 6.86/7.03
% 6.86/7.03 Simplifiers:
% 6.86/7.03 #25: unsound, references = 3, size of lhs = 3:
% 6.86/7.03 P_ifeq2-{F}(V0,V1,V2,V3,V4), P_ifeq2-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #26: unsound, references = 3, size of lhs = 3:
% 6.86/7.03 P_ifeq-{F}(V0,V1,V2,V3,V4), P_ifeq-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #27: unsound, references = 3, size of lhs = 3:
% 6.86/7.03 P_sorti1-{F}(V0,V1), P_sorti1-{F}(V0,V3), V1 == V3 | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #28: unsound, references = 3, size of lhs = 3:
% 6.86/7.03 P_true-{F}(V0), P_true-{F}(V1), V0 == V1 | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #29: unsound, references = 3, size of lhs = 3:
% 6.86/7.03 P_op1-{F}(V0,V1,V2), P_op1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #30: unsound, references = 3, size of lhs = 3:
% 6.86/7.03 P_sorti2-{F}(V0,V1), P_sorti2-{F}(V0,V3), V1 == V3 | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #31: unsound, references = 3, size of lhs = 3:
% 6.86/7.03 P_op2-{F}(V0,V1,V2), P_op2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #32: unsound, references = 3, size of lhs = 3:
% 6.86/7.03 P_sK2_ax3_U-{F}(V0), P_sK2_ax3_U-{F}(V1), V0 == V1 | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #33: unsound, references = 3, size of lhs = 3:
% 6.86/7.03 P_sK1_ax3_V-{F}(V0), P_sK1_ax3_V-{F}(V1), V0 == V1 | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #34: unsound, references = 3, size of lhs = 3:
% 6.86/7.03 P_h-{F}(V0,V1), P_h-{F}(V0,V3), V1 == V3 | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #35: unsound, references = 3, size of lhs = 3:
% 6.86/7.03 P_j-{F}(V0,V1), P_j-{F}(V0,V3), V1 == V3 | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 number of simplifiers = 11
% 6.86/7.03
% 6.86/7.03 Learnt:
% 6.86/7.03 #37: exists( #14, #0 ), references = 10, size of lhs = 3:
% 6.86/7.03 #-{F} V0, #-{F} V1, #-{F} V2 | P_ifeq2-{T}(V0,V0,V1,V2,V1)
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #39: exists( #15, #1 ), references = 3, size of lhs = 3:
% 6.86/7.03 #-{F} V0, #-{F} V1, #-{F} V2 | P_ifeq-{T}(V0,V0,V1,V2,V1)
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #42: exists( #16, #40 ), references = 8, size of lhs = 4:
% 6.86/7.03 P_true-{F}(V0), P_sorti1-{F}(V1,V0), P_sorti1-{F}(V2,V0), P_op1-{F}(V2,V1,V3) | P_sorti1-{T}(V3,V0)
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #45: exists( #18, #8 ), references = 1, size of lhs = 11:
% 6.86/7.03 P_true-{F}(V0), P_sK2_ax3_U-{F}(V1), P_sK1_ax3_V-{F}(V2), P_op1-{F}(V1,V2,V3), P_sorti1-{F}(V2,V4), P_sorti1-{F}(V1,V5), P_sorti1-{F}(V6,V7), P_h-{F}(V6,V8), P_sorti2-{F}(V8,V9), P_ifeq-{F}(V7,V0,V9,V0,V10), V10 == V0 | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #46: exists( #18, #10 ), references = 3, size of lhs = 11:
% 6.86/7.03 P_true-{F}(V0), P_sK2_ax3_U-{F}(V1), P_sK1_ax3_V-{F}(V2), P_op1-{F}(V1,V2,V3), P_sorti1-{F}(V2,V4), P_sorti1-{F}(V1,V5), P_sorti1-{F}(V6,V7), P_h-{F}(V6,V8), P_j-{F}(V8,V9), P_ifeq2-{F}(V7,V0,V9,V6,V10), V10 == V6 | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #49: exists( #18, #43 ), references = 2, size of lhs = 10:
% 6.86/7.03 P_true-{F}(V0), P_sK2_ax3_U-{F}(V1), P_sK1_ax3_V-{F}(V2), P_sorti1-{F}(V2,V3), P_sorti1-{F}(V1,V4), P_sorti1-{F}(V5,V6), P_h-{F}(V5,V7), P_sorti2-{F}(V7,V8), P_ifeq-{F}(V6,V0,V8,V0,V9), V9 == V0 | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #50: exists( #18, #44 ), references = 4, size of lhs = 10:
% 6.86/7.03 P_true-{F}(V0), P_sK2_ax3_U-{F}(V1), P_sK1_ax3_V-{F}(V2), P_sorti1-{F}(V2,V3), P_sorti1-{F}(V1,V4), P_sorti1-{F}(V5,V6), P_h-{F}(V5,V7), P_j-{F}(V7,V8), P_ifeq2-{F}(V6,V0,V8,V5,V9), V9 == V5 | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #55: exists( #16, #49 ), references = 2, size of lhs = 9:
% 6.86/7.03 P_true-{F}(V0), P_sK2_ax3_U-{F}(V1), P_sK1_ax3_V-{F}(V2), P_sorti1-{F}(V1,V3), P_sorti1-{F}(V4,V5), P_h-{F}(V4,V6), P_sorti2-{F}(V6,V7), P_ifeq-{F}(V5,V0,V7,V0,V8), V8 == V0 | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #62: exists( #19, #56 ), references = 3, size of lhs = 6:
% 6.86/7.03 P_true-{F}(V0), P_sK2_ax3_U-{F}(V1), P_sK1_ax3_V-{F}(V2), P_sorti1-{F}(V1,V3), P_sorti1-{F}(V4,V0), P_h-{F}(V4,V5) | P_sorti2-{T}(V5,V0)
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #64: exists( #18, #13 ), references = 1, size of lhs = 11:
% 6.86/7.03 P_true-{F}(V0), P_sK2_ax3_U-{F}(V1), P_sK1_ax3_V-{F}(V2), P_op1-{F}(V1,V2,V3), P_sorti1-{F}(V2,V4), P_sorti1-{F}(V1,V5), P_sorti2-{F}(V6,V7), P_j-{F}(V6,V8), P_h-{F}(V8,V9), P_ifeq2-{F}(V7,V0,V9,V6,V10), V10 == V6 | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #66: exists( #18, #63 ), references = 2, size of lhs = 10:
% 6.86/7.03 P_true-{F}(V0), P_sK2_ax3_U-{F}(V1), P_sK1_ax3_V-{F}(V2), P_sorti1-{F}(V2,V3), P_sorti1-{F}(V1,V4), P_sorti2-{F}(V5,V6), P_j-{F}(V5,V7), P_h-{F}(V7,V8), P_ifeq2-{F}(V6,V0,V8,V5,V9), V9 == V5 | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #73: exists( #24, #67 ), references = 4, size of lhs = 7:
% 6.86/7.03 P_true-{F}(V0), P_sK2_ax3_U-{F}(V1), P_sK1_ax3_V-{F}(V2), P_sorti1-{F}(V2,V3), P_sorti1-{F}(V1,V4), P_sorti1-{F}(V5,V0), P_h-{F}(V5,V6) | P_j-{T}(V6,V5)
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #75: exists( #14, #12 ), references = 1, size of lhs = 15:
% 6.86/7.03 P_true-{F}(V0), P_sK2_ax3_U-{F}(V1), P_sK1_ax3_V-{F}(V2), P_op1-{F}(V1,V2,V3), P_op1-{F}(V2,V1,V4), P_sorti1-{F}(V2,V5), P_sorti1-{F}(V1,V6), P_sorti2-{F}(V7,V8), P_j-{F}(V7,V9), P_sorti2-{F}(V10,V11), P_j-{F}(V10,V12), P_op1-{F}(V12,V9,V13), P_op2-{F}(V10,V7,V14), P_j-{F}(V14,V15), P_ifeq2-{F}(V11,V0,V13,V15,V16) | P_ifeq2-{T}(V8,V0,V16,V15,V15)
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #79: exists( #20, #77 ), references = 8, size of lhs = 13:
% 6.86/7.03 P_true-{F}(V0), P_sK2_ax3_U-{F}(V1), P_sK1_ax3_V-{F}(V2), P_op1-{F}(V1,V2,V3), P_op1-{F}(V2,V1,V4), P_sorti1-{F}(V2,V5), P_sorti1-{F}(V1,V6), P_sorti1-{F}(V7,V0), P_sorti1-{F}(V8,V0), P_h-{F}(V8,V9), P_h-{F}(V7,V10), P_op1-{F}(V8,V7,V11), P_h-{F}(V11,V12) | P_op2-{T}(V9,V10,V12)
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #81: exists( #15, #11 ), references = 1, size of lhs = 10:
% 6.86/7.03 P_true-{F}(V0), P_sK2_ax3_U-{F}(V1), P_sK1_ax3_V-{F}(V2), P_op1-{F}(V1,V2,V3), P_op1-{F}(V2,V1,V4), P_sorti1-{F}(V2,V5), P_sorti1-{F}(V1,V6), P_sorti2-{F}(V7,V8), P_j-{F}(V7,V9), P_sorti1-{F}(V9,V10) | P_ifeq-{T}(V8,V0,V10,V0,V0)
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #92: mergings( V2 == V13, V3 == V14, V8 == V19, V4 == V15, V7 == V18, V5 == V16, V6 == V17; #84 ), references = 7, size of lhs = 15:
% 6.86/7.03 P_true-{F}(V0), P_sorti1-{F}(V1,V0), P_sorti1-{F}(V2,V0), P_h-{F}(V2,V3), P_sorti2-{F}(V3,V0), P_h-{F}(V1,V4), P_sorti2-{F}(V4,V0), P_op1-{F}(V2,V1,V5), P_sK2_ax3_U-{F}(V6), P_sK1_ax3_V-{F}(V7), P_op1-{F}(V6,V7,V8), P_op1-{F}(V7,V6,V9), P_sorti1-{F}(V7,V10), P_sorti1-{F}(V6,V11), P_op2-{F}(V4,V3,V12) | P_h-{T}(V5,V12)
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #127: mergings( V13 == V17, V17 == V6, V6 == V16, V16 == V20, V20 == V5, V5 == V15, V15 == V19, V3 == V19, V4 == V14, V14 == V18; #116 ), references = 1, size of lhs = 17:
% 6.86/7.03 P_true-{F}(V0), P_sorti1-{F}(V1,V0), P_sorti1-{F}(V2,V0), P_h-{F}(V2,V3), P_sorti2-{F}(V3,V0), P_h-{F}(V1,V4), P_sorti2-{F}(V4,V0), P_op1-{F}(V2,V1,V5), P_h-{F}(V5,V6), P_sK2_ax3_U-{F}(V7), P_h-{F}(V7,V3), P_sorti1-{F}(V7,V0), P_sK1_ax3_V-{F}(V8), P_h-{F}(V8,V4), P_sorti1-{F}(V8,V0), P_op1-{F}(V7,V8,V9), P_j-{F}(V6,V10) | P_op1-{T}(V8,V7,V10)
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #139: mergings( V13 == V6, V6 == V16, V16 == V5, V5 == V15, V15 == V17, V3 == V17, V4 == V14, V1 == V18, V17 == V21, V0 == V19, V21 == V20; #114 ), references = 1, size of lhs = 17:
% 6.86/7.03 P_true-{F}(V0), P_sorti1-{F}(V1,V0), P_sorti1-{F}(V2,V0), P_h-{F}(V2,V3), P_sorti2-{F}(V3,V0), P_h-{F}(V1,V4), P_sorti2-{F}(V4,V0), P_op1-{F}(V2,V1,V5), P_h-{F}(V5,V6), P_sK2_ax3_U-{F}(V7), P_h-{F}(V7,V3), P_sorti1-{F}(V7,V0), P_sK1_ax3_V-{F}(V8), P_h-{F}(V8,V4), P_sorti1-{F}(V8,V0), P_op1-{F}(V7,V8,V9), P_j-{F}(V6,V10) | P_op1-{T}(V8,V7,V10)
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #152: mergings( V13 == V6, V6 == V16, V16 == V5, V5 == V15, V15 == V17, V3 == V17, V4 == V14, V1 == V18, V17 == V22, V0 == V19, V22 == V21, V14 == V20; #115 ), references = 1, size of lhs = 17:
% 6.86/7.03 P_true-{F}(V0), P_sorti1-{F}(V1,V0), P_sorti1-{F}(V2,V0), P_h-{F}(V2,V3), P_sorti2-{F}(V3,V0), P_h-{F}(V1,V4), P_sorti2-{F}(V4,V0), P_op1-{F}(V2,V1,V5), P_h-{F}(V5,V6), P_sK2_ax3_U-{F}(V7), P_h-{F}(V7,V3), P_sorti1-{F}(V7,V0), P_sK1_ax3_V-{F}(V8), P_h-{F}(V8,V4), P_sorti1-{F}(V8,V0), P_op1-{F}(V7,V8,V9), P_j-{F}(V6,V10) | P_op1-{T}(V8,V7,V10)
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #189: mergings( V2 == V7, V7 == V18, V18 == V28, V3 == V8, V6 == V13, V8 == V22, V13 == V27, V22 == V29, V27 == V32, V4 == V9, V5 == V12, V9 == V23, V12 == V26, V10 == V24, V11 == V25, V23 == V30, V26 == V31; #169 ), references = 2, size of lhs = 23:
% 6.86/7.03 P_true-{F}(V0), P_sorti1-{F}(V1,V0), P_sorti1-{F}(V2,V0), P_h-{F}(V2,V3), P_sorti2-{F}(V3,V0), P_h-{F}(V1,V4), P_sorti2-{F}(V4,V0), P_op1-{F}(V2,V1,V5), P_sorti1-{F}(V5,V0), P_sorti1-{F}(V6,V0), P_h-{F}(V6,V3), P_sorti1-{F}(V7,V0), P_h-{F}(V7,V4), P_op1-{F}(V7,V6,V8), P_sK2_ax3_U-{F}(V9), P_sK1_ax3_V-{F}(V10), P_op1-{F}(V9,V10,V11), P_op1-{F}(V10,V9,V12), P_sorti1-{F}(V10,V13), P_sorti1-{F}(V9,V14), P_sorti1-{F}(V8,V15), P_ifeq2-{F}(V15,V0,V5,V8,V16), V16 == V8 | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #208: mergings( V2 == V7, V7 == V18, V18 == V28, V3 == V8, V6 == V13, V8 == V22, V13 == V27, V22 == V29, V27 == V33, V4 == V9, V5 == V12, V9 == V23, V12 == V26, V10 == V24, V11 == V25, V23 == V30, V26 == V32, V24 == V31; #170 ), references = 2, size of lhs = 23:
% 6.86/7.03 P_true-{F}(V0), P_sorti1-{F}(V1,V0), P_sorti1-{F}(V2,V0), P_h-{F}(V2,V3), P_sorti2-{F}(V3,V0), P_h-{F}(V1,V4), P_sorti2-{F}(V4,V0), P_op1-{F}(V2,V1,V5), P_sorti1-{F}(V5,V0), P_sorti1-{F}(V6,V0), P_h-{F}(V6,V3), P_sorti1-{F}(V7,V0), P_h-{F}(V7,V4), P_op1-{F}(V7,V6,V8), P_sK2_ax3_U-{F}(V9), P_sK1_ax3_V-{F}(V10), P_op1-{F}(V10,V9,V11), P_op1-{F}(V9,V10,V12), P_sorti1-{F}(V10,V13), P_sorti1-{F}(V9,V14), P_sorti1-{F}(V8,V15), P_ifeq2-{F}(V15,V0,V5,V8,V16), V16 == V8 | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #228: mergings( V2 == V7, V7 == V18, V18 == V28, V3 == V8, V6 == V13, V8 == V22, V13 == V27, V22 == V29, V27 == V34, V4 == V9, V5 == V12, V9 == V23, V12 == V26, V10 == V24, V11 == V25, V23 == V30, V26 == V33, V24 == V31, V25 == V32; #171 ), references = 2, size of lhs = 23:
% 6.86/7.03 P_true-{F}(V0), P_sorti1-{F}(V1,V0), P_sorti1-{F}(V2,V0), P_h-{F}(V2,V3), P_sorti2-{F}(V3,V0), P_h-{F}(V1,V4), P_sorti2-{F}(V4,V0), P_op1-{F}(V2,V1,V5), P_sorti1-{F}(V5,V0), P_sorti1-{F}(V6,V0), P_h-{F}(V6,V3), P_sorti1-{F}(V7,V0), P_h-{F}(V7,V4), P_op1-{F}(V7,V6,V8), P_sK2_ax3_U-{F}(V9), P_sK1_ax3_V-{F}(V10), P_op1-{F}(V9,V10,V11), P_op1-{F}(V10,V9,V12), P_sorti1-{F}(V10,V13), P_sorti1-{F}(V9,V14), P_sorti1-{F}(V8,V15), P_ifeq2-{F}(V15,V0,V5,V8,V16), V16 == V8 | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #243: mergings( V3 == V11, V11 == V10; #238 ), references = 1, size of lhs = 16:
% 6.86/7.03 P_true-{F}(V0), P_sorti1-{F}(V1,V0), P_sorti1-{F}(V2,V0), P_h-{F}(V2,V3), P_sorti2-{F}(V3,V0), P_h-{F}(V1,V4), P_sorti2-{F}(V4,V0), P_op1-{F}(V2,V1,V5), P_sorti1-{F}(V5,V0), P_sK2_ax3_U-{F}(V6), P_h-{F}(V6,V3), P_sorti1-{F}(V6,V0), P_sK1_ax3_V-{F}(V7), P_h-{F}(V7,V4), P_sorti1-{F}(V7,V0), P_op1-{F}(V6,V7,V8) | P_op1-{T}(V7,V6,V5)
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #246: mergings( V3 == V11, V11 == V10; #239 ), references = 1, size of lhs = 16:
% 6.86/7.03 P_true-{F}(V0), P_sorti1-{F}(V1,V0), P_sorti1-{F}(V2,V0), P_h-{F}(V2,V3), P_sorti2-{F}(V3,V0), P_h-{F}(V1,V4), P_sorti2-{F}(V4,V0), P_op1-{F}(V2,V1,V5), P_sorti1-{F}(V5,V0), P_sK2_ax3_U-{F}(V6), P_h-{F}(V6,V3), P_sorti1-{F}(V6,V0), P_sK1_ax3_V-{F}(V7), P_h-{F}(V7,V4), P_sorti1-{F}(V7,V0), P_op1-{F}(V6,V7,V8) | P_op1-{T}(V7,V6,V5)
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #249: mergings( V3 == V11, V11 == V10; #240 ), references = 1, size of lhs = 16:
% 6.86/7.03 P_true-{F}(V0), P_sorti1-{F}(V1,V0), P_sorti1-{F}(V2,V0), P_h-{F}(V2,V3), P_sorti2-{F}(V3,V0), P_h-{F}(V1,V4), P_sorti2-{F}(V4,V0), P_op1-{F}(V2,V1,V5), P_sorti1-{F}(V5,V0), P_sK2_ax3_U-{F}(V6), P_h-{F}(V6,V3), P_sorti1-{F}(V6,V0), P_sK1_ax3_V-{F}(V7), P_h-{F}(V7,V4), P_sorti1-{F}(V7,V0), P_op1-{F}(V6,V7,V8) | P_op1-{T}(V7,V6,V5)
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #256: mergings( V3 == V7, V7 == V8, V8 == V6; #252 ), references = 1, size of lhs = 9:
% 6.86/7.03 P_true-{F}(V0), P_sK2_ax3_U-{F}(V1), P_sorti1-{F}(V1,V0), P_h-{F}(V1,V2), P_sorti2-{F}(V2,V0), P_sK1_ax3_V-{F}(V3), P_sorti1-{F}(V3,V0), P_h-{F}(V3,V4), P_sorti2-{F}(V4,V0) | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #265: mergings( V5 == V9, V9 == V10, V10 == V6, V2 == V7, V4 == V6, V3 == V0; #258 ), references = 2, size of lhs = 7:
% 6.86/7.03 P_true-{F}(V0), P_sK2_ax3_U-{F}(V1), P_sorti1-{F}(V1,V0), P_h-{F}(V1,V2), P_sorti2-{F}(V2,V0), P_sK1_ax3_V-{F}(V3), P_sorti1-{F}(V3,V0) | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #269: exists( #14, #66 ), references = 1, size of lhs = 8:
% 6.86/7.03 P_true-{F}(V0), P_sK2_ax3_U-{F}(V1), P_sK1_ax3_V-{F}(V2), P_sorti1-{F}(V2,V3), P_sorti1-{F}(V1,V4), P_sorti2-{F}(V5,V6), P_j-{F}(V5,V7), P_h-{F}(V7,V8) | P_ifeq2-{T}(V6,V0,V8,V5,V5)
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #271: exists( #18, #5 ), references = 1, size of lhs = 6:
% 6.86/7.03 P_true-{F}(V0), P_sK2_ax3_U-{F}(V1), P_sK1_ax3_V-{F}(V2), P_op1-{F}(V1,V2,V3), P_sorti1-{F}(V2,V4), V4 == V0 | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #273: exists( #18, #270 ), references = 1, size of lhs = 5:
% 6.86/7.03 P_true-{F}(V0), P_sK2_ax3_U-{F}(V1), P_sK1_ax3_V-{F}(V2), P_sorti1-{F}(V2,V3), V3 == V0 | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #275: exists( #16, #272 ), references = 1, size of lhs = 3:
% 6.86/7.03 P_true-{F}(V0), P_sK2_ax3_U-{F}(V1), P_sK1_ax3_V-{F}(V2) | P_sorti1-{T}(V2,V0)
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #280: mergings( V5 == V3; #276 ), references = 1, size of lhs = 7:
% 6.86/7.03 P_true-{F}(V0), P_sK2_ax3_U-{F}(V1), P_sK1_ax3_V-{F}(V2), P_sorti1-{F}(V2,V0), P_op1-{F}(V1,V2,V3), P_sorti1-{F}(V1,V4), V4 == V0 | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #283: mergings( V5 == V3, V6 == V3; #277 ), references = 1, size of lhs = 11:
% 6.86/7.03 P_true-{F}(V0), P_sK2_ax3_U-{F}(V1), P_sorti1-{F}(V1,V0), P_sK1_ax3_V-{F}(V2), P_sorti1-{F}(V2,V0), P_op1-{F}(V1,V2,V3), P_sorti2-{F}(V4,V5), P_j-{F}(V4,V6), P_sorti1-{F}(V6,V7), P_ifeq-{F}(V5,V0,V7,V0,V8), V8 == V0 | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #286: mergings( V5 == V3, V6 == V3; #278 ), references = 1, size of lhs = 16:
% 6.86/7.03 P_true-{F}(V0), P_sK2_ax3_U-{F}(V1), P_sorti1-{F}(V1,V0), P_sK1_ax3_V-{F}(V2), P_sorti1-{F}(V2,V0), P_op1-{F}(V1,V2,V3), P_sorti2-{F}(V4,V5), P_j-{F}(V4,V6), P_sorti2-{F}(V7,V8), P_j-{F}(V7,V9), P_op1-{F}(V9,V6,V10), P_op2-{F}(V7,V4,V11), P_j-{F}(V11,V12), P_ifeq2-{F}(V8,V0,V10,V12,V13), P_ifeq2-{F}(V5,V0,V13,V12,V14), V14 == V12 | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #291: mergings( V4 == V3; #287 ), references = 1, size of lhs = 6:
% 6.86/7.03 P_true-{F}(V0), P_sK2_ax3_U-{F}(V1), P_sK1_ax3_V-{F}(V2), P_sorti1-{F}(V2,V0), P_sorti1-{F}(V1,V3), V3 == V0 | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #294: mergings( V4 == V2; #292 ), references = 1, size of lhs = 4:
% 6.86/7.03 P_true-{F}(V0), P_sK2_ax3_U-{F}(V1), P_sK1_ax3_V-{F}(V2), P_sorti1-{F}(V2,V0) | P_sorti1-{T}(V1,V0)
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #300: mergings( V2 == V0, V4 == V5, V3 == V6; #296 ), references = 1, size of lhs = 5:
% 6.86/7.03 P_true-{F}(V0), P_sK2_ax3_U-{F}(V1), P_sorti1-{F}(V1,V0), P_sK1_ax3_V-{F}(V2), P_sorti1-{F}(V2,V0) | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #305: mergings( V1 == V3; #303 ), references = 1, size of lhs = 2:
% 6.86/7.03 P_true-{F}(V0), P_sK2_ax3_U-{F}(V1) | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #307: exists( #21, #303 ), references = 1, size of lhs = 1:
% 6.86/7.03 P_true-{F}(V0) | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 #309: exists( #17, #306 ), references = 1, size of lhs = 0:
% 6.86/7.03 FALSE | FALSE
% 6.86/7.03 (used 0 times, uses = {})
% 6.86/7.03
% 6.86/7.03 number of learnt formulas = 40
% 6.86/7.03
% 6.86/7.03
% 6.86/7.03 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.86/7.03
% 6.86/7.03 randbase = 1
%------------------------------------------------------------------------------